45:54:64

Chord information

Harmonics	45:54:64
Subharmonics	1/(192:160:135)
Intervals from root	1/1 – 6/5 – 64/45
Cents from root	0¢ 316¢ 610¢
Step intervals	6/5, 32/27
Step cents	316¢, 294¢
Color name	gu gu-5 or g(g5)
Prime limit	5
Genus	33 ⋅ 5 (135)
Intervallic odd limit	45
Otonal odd limit	45
Utonal odd limit	135
Consistent edos (d≥2)	4edo***, 8edo**, 12edo*, 16edo*, …
* 2≤d<4; ** 4≤d<8; *** 8≤d<16; …

45:54:64 is a 5-limit diminished triad found on vii^o (15⁄8) in Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. Its 64/45 diminished fifth is formed by a 32/27 Pythagorean minor third on top of a 6/5 Ptolemaic minor third.